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Information × Registration Number 0219U003042, 0116U002522 , R & D reports Title Development of research methods of strength and stability of thin-walled structures under the influence of different types of static and dynamic loads popup.stage_title Head Shevchenko Volodimir Pavlovich, Registration Date 16-01-2019 Organization Donetsk State University popup.description2 1. Fundamental solutions of the dynamic equations of the theory of thin plates and shells for models that take into account the influence of the elastic basis and damping are numerically-analytic. 2. We consider the stress-strain state and the fluctuations of shell structures with local stress concentrators on the basis of the linear theory of thin elastic anisotropic shells within the framework of the Kirhof-Lyav hypotheses, taking into account the structural inhomogeneity of the material and the discreteness of the reinforcing ribs and the attached solids. The solution of the problem is carried out by the method of Ritz. Equations of oscillations are obtained on the basis of the Lagrange variational principle for dynamical systems. Own frequencies and forms of free oscillations of the shell system are determined by the Jacobi rotation method. The task of studying a stress-strain state is solved by the method of superposition of mod. The results of the calculation of eigenfrequencies and forms of free oscillations, as well as the amplitudes of forced oscillations and stresses of reinforced and reinforced membranes with allowance for damping under the action of normal uniformly distributed dynamic load, which varies according to the harmonic law. The analysis of the obtained results for a wide range of changes in structural, geometric and physicomechanical parameters of shells is carried out. The features and general laws of the nature of the influence of the structural inhomogeneity of the material, the type of boundary conditions, the supporting ribs and the attached solids on the amplitude-frequency characteristics and the stress-deformed state of the investigated shell system are revealed. The reliability of the numerical results of the calculation and the adequacy of the developed mathematical models is confirmed by the analysis of practical convergence of solutions and comparison of the results with known solutions and experimental data. 3. Models of the motion of an elastic solid with a liquid (PTTR) in the form of a system of elastically bound solids with a liquid (SPZTTR) and a solid with elastic fluid compartments (TTPV) were studied. Conditions for the asymptotic stability of uniform rotations in a medium with resistance of a non-free system of three Lagrange gyroscopes with an ideal fluid are obtained. On the basis of modal analysis, the problem of small translational and rotational vibrations of a solid body with a cavity containing a heavy multilayer ideal fluid separated by elastic plates is considered. In the case of a cylindrical cavity, a counted system of differential equations is obtained. Conditions for the asymptotic stability of rotation in an environment with a Lagrange dipole resistance with an ideal fluid under the action of a constant moment are obtained. Product Description popup.authors Баєва Анастасія Анатоліївна Багно Олександр Михайлович Вєтров Олег Станіславович Василенко Валерія Юріївна Власов Олег Ігорович Джуха Юрій Олександрович Жоголева Надія Володимирівна Каіров Володимир Олексійович Каіров Олексій Сергійович Кононов Юрій Микитович Косилов Сергій Олексійович Лимар Олександр Олександрович Шевченко Володимир Павлович popup.nrat_date 2020-04-02 Close